This Is NOT 50/50

The easiest fair games depend on equal, binary outcomes like flipping a coin or drawing a playing card that can only be either red or black. If a game depends on both players choosing an equally-probable outcome, how can one player have a massive advantage over the other?
Welcome to the Humble-Nishiyama Randomness Game, a variant of Walter Penney’s classic demonstration of the power of non-transitivity in simple games. In a straightforward transitive situation, A beats B and B beats C -- which means A beats C, too. But if A beats B, B beats C, and C beats A… we’ve gone non-transitive just like Rock, Paper, Scissors. By jumping into the non-transitive game loop at the most advantageous point, Player 2 can become an overwhelming favorite every time. It looks like dumb luck, but it’s really just smart math.
** SOURCES **
“Penney Ante: Counterintuitive Probabilities in Coin Tossing,” by RS Nickerson: www.math.unl.edu/~sdunbar1/Pro...
“Humble-Nishiyama Randomness Game - A New Variation on Penney's Coin Game,” by Steve Humble and Yutaka Nishiyama: citeseerx.ist.psu.edu/viewdoc/...
"Probability of a tossed coin landing on edge,” by Daniel B. Murray and Scott W. Teare: journals.aps.org/pre/abstract...
"Antibiotic-mediated antagonism leads to a bacterial game of rock-paper-scissors in vivo,” by Benjamin C. Kirkup & Margaret A. Riley: www.nature.com/articles/natur...
** LINKS **
Vsauce2 Links
Twitter: / vsaucetwo
Facebook: / vsaucetwo
Hosted and Produced by Kevin Lieber
Instagram: / kevlieber
Twitter: / kevinlieber
Podcast: / thecreateunknown
Research And Writing by Matthew Tabor
/ tabortcu
Editing by AspectScience
/ @tommocarroll
Huge Thanks To Paula Lieber
www.etsy.com/shop/Craftality
Get Vsauce's favorite science and math toys delivered to your door!
www.curiositybox.com/
Select Music By Jake Chudnow: / jakechudnow
#education #vsauce2

[@Vsauce2]

I can't sell the meme cards but I hope you enjoy Woven Math! Wrap your body in sweet, sweet knowledge. represent.com/store/vsauce2

[@cynn855]

s e l l m e m e c a r d s n o w

[@edub12385]

I never thought I would desire a deck of memes, but this now plagues me.

[@pandoradoggle]

Could you give away a set of meme cards for free with every purchase of two or three Woven Math shirts?

[@alice11307]

I am sad

[@Maxio68]

Can I have a PDF of every card in the deck? I need to know the memes

[@EastPort10]

My opponent: chooses the Sequence RRR Me: Haha cards go BRR

[@toktopuss]

Thats a good meme right there

[@mario64thane]

That’s really clever

[@renocicchi7346]

Too bad you made the comment late. I bet you would have gotten a lot of likes

[@EastPort10]

@BigLBA1 Yes. That's the joke.

[@guscichoski]

You realize he did this sequence so its not like ur smart lol

[@treysabre2943]

It’s fair Michael: Or is it?

[@burntnutz69]

Or Kevin

[@doommaker4000]

@@burntnutz69 Or is it?

[@rusduderus]

A fair game would be the same game but you both reveal the pattern at the same time and if you chose the same you just do it again.

[@bradleygipson4683]

r/suddenlyvsauce

[@laikaperraespacial6025]

@@rusduderus as rock paper scissors

[@AkeemKaleeb]

Dream didn't cheat, he was just playing a non-transitive game

[@sagittarius5466]

No

[@holtzwizard2094]

Bruh I exhaled reading this

[@ahumanperson3649]

This joke is top tier, this deserves way more likes lol.

[@tshandcannon548]

@@ahumanperson3649 the thing is 5 months ago dream didnt admit to cheating but when you saw this comment you thought it was a joke because you know he did cheat when in realatiy @Akeem Kaleeb did not know and was geniun and made a joke of it so the joke cancles out carry the cheat and you left with a man who just lied why is that top teir also 160 likes is alot you only have 5 friends so he just got 32 more people liking him than you do in your life

[@ahumanperson3649]

@@tshandcannon548 please use punctuation, I have no idea what you are trying to say.

[@Nysvarth]

This game is like rock-paper-scissors, except you let your opponent reveal first...

[@devyn1231]

False, the odds of beating your opponent if they reveal first in Rock Paper Scissors is 100%

[@travisdunlap4526]

@@devyn1231 But the fundamental concept is the same, its just the concept is REALLY REALLY strong in rock paper scissors, whereas with the 3 card game is just REALLY strong. Hence why your odds go up significantly, but not to 100%.

[@dungeonquestboi32]

@@devyn1231 idk I've lost when the other person revealed first

[@devyn1231]

@@dungeonquestboi32 I mean if they tell you what they are going to play first you should never lose

[@dungeonquestboi32]

@@devyn1231 the intimidation factor is too much for me

[@xarfin7394]

Every time I watch a vsauce vid: Me: No Kevin Yes! Me: Yes? Kevin: No!!

[@carsonmorris127]

XARFIN Kevin knows all

[@Saoru13]

00

[@nametager7539]

Me: right Kevin: WRONG!

[@HarlequinHeart16]

Mood

[@mementomori7160]

It's a nontransitive game! "No" is beaten by "Yes" and "Yes" is beaten by "No", of course, the second person always wins

[@calebcustombricks2631]

Vsauce 1 and 3: come back in 2019 Vsauce 2: Still been here this entire time

[@carsonmorris127]

I think the universe in in some sort of alignment

[@ChadRazorback]

Wait... there is a vsauce 3?

[@calebcustombricks2631]

@@ChadRazorback yes

[@happyperson1851]

@@ChadRazorback It's great too!

[@OmicronGaming]

I’m not trusting a game to be fair if the other person gets to go first.

[@cheetahrunout]

Even if you agree to swap who starts. If you start, you just pick one thats least bad for you. If the other person by accident picks the right choice you will loose 2:1. If he has to start first, just apply said algorithm. Overtime you will win.

[@James-ye7rp]

I think the point is that if you "let the other person go first" you win, not the other way round.

[@hercourdog5154]

@@cheetahrunout but they’re all equal at first lmak

[@fantomp1773]

@@hercourdog5154 There are ones with the least bad match-ups.

[@hercourdog5154]

@@fantomp1773 no there isn’t

[@zerfex2]

I loved to say "breathtaking" at the same time that Vsauce did, I knew that he was going to say it. Perfect.

[@brianjodwischat8759]

breathtaking

[@CronicasDeGisthia]

but you are vsauce

[@ayyron13]

Perfection.

[@DryestDaisyDryestDaisy]

Simply turn on the captions😊😉

[@kalilover9538]

Congratulations

[@_l3018]

I‘ll try to introduce this as a new drinking game with my friends

[@raskr8137]

Yes

[@just_a_rock]

Make sure to use vodka.

[@luxhey]

Be sure to let us know how it goes!

[@scrap5051]

Oh boy

[@43615]

or, you could just not have friends and drink by yourself

[@fjordlynn3680]

I just watched a 12 minute video explaining if the second player gets to pick after the first in rock-paper-scissors, the game is unfair.

[@xexpaguette]

lol

[@kevaldave9209]

hahaha

[@Cowtymsmiesznego]

My thoughts exactly. Non-transitivity is a terrible "explanation" of this paradox.

[@maxrichter4534]

Thank you. I am at 1:00 and will stop now

[@santiagoley6403]

F me, this is why I don't watch stuff from these channels

[@simon-pierrelussier2775]

I appreciated the 30 seconds spent on explaining how rock-paper-scissors work. I needed an example of non-transitivity after having an example of non-transitivity.

[@LuciusC]

Honestly I thought that the rock-paper-scissors was a way better example than the pizza-taco-dog food. But at least the pizza-taco-dog food example was easier to understand than the card game. Of course the card game seems way more fun than rock-paper-scissors though.

[@carotee7918]

Kevin: this is my dearest friend! Also Kevin: breaks his legs and then throws him off the table.

[@XComb]

Hehehe Crying Carson That was pretty cool

[@cardboardleaf7971]

I thought that was Nathaniel Bandy. Like, really.

[@Kaiwala]

@@cardboardleaf7971 disgusting

[@weirdchamp4601]

Kaiwala why

[@XComb]

@@cardboardleaf7971 h--h--how lmao

[@aaditmaheshwari4080]

@@cardboardleaf7971 SAME HERE

[@deltawdunn6597]

When I see Vsauce and Phil Swift, I click.

[@Piotr_Tokarz]

I am simple guy

[@deltawdunn6597]

@@Piotr_Tokarz DANG I had one job, huh?

[@drakands8452]

Dont forget sad keanu

[@KamilKhanYT]

Vsau that you're Swift.

[@monkg3i]

Keanu Reeves: Am i a joke to you?

[@ne5o2]

The simplest way to try to explain most of the scenarios is that you want your last 2 colors to be same as opponents first 2 colors. That way every time your opponent gets their 2nd color correct, there is about 50% chance that it finishes your sequence.

[@patchpen5613]

Thank you! I came down here looking for an explanation as to WHY the game wasn't transitive, and now it makes perfect sense... or at least the 2:1 ratios do.

[@elliotardouin-nesbit5657]

7:01 Everyone: No you can't just make a fair game unfair Kevin: Haha maths go BRRR

[@R4M1R0MC]

BRR*

[@yipp-7841]

BRR*

[@brianmchaney7473]

Maths go BRR, I go BBR.

[@DND20]

@@brianmchaney7473 i go RBB

[@anikahdunn4551]

@@DND20 i go RRB

[@achievedchair17]

I mean real life is also like this game.

[@Tudsamfa]

In the "there is no best choice"- way or in the "Hehe, crying Carson"-way?

[@adamtopher3633]

@@Tudsamfa both 😂

[@ferraripie1995]

In "that is breathtaking" way

[@sdrawkcab_emanresu]

Society🤔😉

[@lestaironblack1259]

But everyone beats me

[@vitkloucek3739]

Kevin: new math merch is avaiable Me: how much for the meme cards ?

[@user-hi8jv6cw8n]

Same

[@s1l3nttt]

i'd buy them for sure LMAO

[@heilhonkler6981]

Dead comment format

[@gizmoteknodekker7060]

Ditto!

[@lesarXD]

7:19 rock paper scissors players: confused screaming

[@Bonobo_JoJo]

Once you brought up the idea of (non)transitive games I was hoping you would use Rock Paper Scissors as an example. Did not disappoint! This was the best way I found to explain this idea to students when I tutored

[@nikolajdamstengaard4633]

KZbin: i suppose you’re all wondering why I gathered you here today

[@carealoo744]

Actually an incredibly creative comment :)

[@Davidamp]

Today

[@Ethan-ft7pi]

Today

[@carealoo744]

@@Ethan-ft7pi Very creative name, even if a redundant comment.

[@cameodamaneo]

This is Vsauce2. He has over 4 million subscribers. I can assure you that 90% of viewers are here because they're subscribed. Not really something that needs to be questioned.

[@nikolasrogkotis6873]

I think i represent everyone when i ask: WHERE CAN I BUY THIS DECK OF CARDS?!?

[@davidmadiar3928]

Yup

[@Rafael-ft1hu]

You absolutely do

[@ObjectsCountries]

indeed

[@Rafael-ft1hu]

It looks this deck came from makeplayingcards.com or somrthing

[@kane2742]

You can't. It would violate copyright for the images not owned by Vsauce, and some of those copyright holders (like Disney) could sue them for selling these.

[@chimaru8943]

For those wondering a more simplified logical explanation as to why this certain strategy works for this game. This strategy pretty much maximizes P2 to be able to stay one step ahead P1 when P1 is doing good. When P1 is doing good, P2 is likely doing better. (1). Why is the last two sequence of P2's = the first two of P1's? Suppose P1 chose the sequence BRB. Now, consider when the most recent two cards drawn out the deck are BR, that is, P1 now has a 50% chance of winning the game depending on whether the next card drawn is B or not. P1 has seemed to have gotten through the more difficult part of the game of hitting the first two cards (25%), and now just needs that final measly 50%. Good for P1, right? Well, maybe. Given that the last two sequence of P2's choice were the same as P1's first two, this would imply that P2 would have either picked R[BR] or B[BR]. Meaning that depending on what was pulled prior to that BR (the one that P1 is currently so happy about), there is a 50:50 chance that P2 has already won. So any time that P1 gets to the point where they have a 50:50 chance of winning (25% probability), P2 would've already won 50% of the time. (2). Why is P2's first sequence = the opposite of P1's second? This is essentially to counter what was said above in (1). To basically guarantee to never be behind P1 whenever P2 is starting to heat up (gets their first card selected). To expand a bit more, anytime P2 gets a hit on their first card, IF P1 hadn't won already, P1 would either be on their zeroth or first card. Because P2's first sequence is the opposite of P1's second, it'll never be the case that P1 is one draw away from winning (50%) while P2 is two draws away (25%). This part is a bit trickier to explain, I think applying this logic to (1) will help. So there you have it. Tl;dr, Whenever P2 loses, they were just simply unlucky. When P1 wins, they were simply lucky.

[@davidkoch3758]

Thank you, it bugged me that this "leading" aspect was not actually explained in the video at all.

[@lummiistic1869]

Friend: Haha ok so you won , know you're first Me: Friend: Me: Friend: Me: o yeah I forgot I dont have friends

[@agenti4734]

"Honey, take your schizophrenia meds!"

[@NootNoot800]

Everyone 5 min after upload: "NICE VIDEO" Video: *Lasts for 12 min*

[@CharcharoExplorer]

2x speed.

[@M-Soares]

@@CharcharoExplorer 2x speed gang rise up!

[@prim16]

You guys are soft, I use a browser extension to double my double speed, so I am going 4x speed.

[@mariafe7050]

It doesn't matter if you watch the whole video it can still be good

[@GIGATHEBOT]

@@M-Soares still 6 mins

[@Me-ie5tc]

Plot twist Your friends says that he wants to go second or else he's not playing.

[@namansingla2975]

I'd like to think that's already happened with you 😂

[@arejay9509]

Had sharted earlier, stay safe out there my friend

[@LD-dt1sk]

Plot twist You dont have a friend

[@thishdude]

that is exactly what i was about to say

[@cizma27]

You pick the ones with less chances of losing. Say RBB with 33% chance of losing.

[@jeremy.oliver]

When you shuffle the deck, but put some cards face up: The odds are against us, because I can see the evens

[@1218jmm]

This is incredible and this guy has a great presentation. Top class video.

[@donat5617]

Ah yes, fresh and stale memes. The best ones. Love you Kevin.

[@bences192]

Magyar vagy? :D

[@donat5617]

@@bences192 Találd ki.

[@mgyeri]

Mit keresnek itt magyarok?

[@grofrez9659]

@@mgyeri r/facepalm

[@RaptorBlossom]

“What is Fair?” It’s a shorter way of saying *FORWARD AERIAL*

[@theultimatewaluigi4594]

Smash Bros reference

[@cheesesushi9997]

It’s the haha funny move

[@kitthekat6844]

@@cheesesushi9997 Is it still funny? I thought it was dead. Alpharad looks like he's had enough of it for sure

[@cheesesushi9997]

KitTheKat funny haha yes forward aerial chuckle hard giggle heartily

[@cryosthesia77k69]

Oh i'm playing mario and ness is trying to recover? I guess I'll just back air hi-*FORWARD AERIAL*

[@Tim_Sviridov]

For anybody struggling to understand this, here is an over-simplified explanation: You are basically playing scissors-paper-rock where the other player shows their choice before you choose yours.

[@franksierow5792]

And this manouver is only possible because every time a new card is added, what is then the "last 3 cards" is not indepedent of what was the previous "last 3 cards". If 3 cards were added at a time then game would be fair.

[@jansmitowiczauthor78]

Uhm. No-- unless you don't know how to play, there's no way B loses to A if A picks first. But with the cards, A *can* still win. Many scenarios where they can win, albeit unlikely, where in your example, Player B only loses if s/he doesn't know how to play.

[@Tim_Sviridov]

@@jansmitowiczauthor78 "over-simplified" "basically"

[@Theking0fgg]

Rock paper siccors. Ro sham bo. But not siccors paper rock. Just not.

[@zariftahmidshoeb3487]

Well in Rock Paper Scissors you have a 100% chance of winning if they go first and it’s very obvious. But here, little do they know that the game is not fair and is rigged in favor of the 2nd person if they know this trick. And in a lot of games like chess and tic tac toe, the person who gets to go first has the advantage. So it’s not always like the 2nd person has an advantage over the 1st person, in fact it can be the opposite.

[@UberHummus]

Dude your shirts look amazing! I’m boutta order like 10 of these things!!

[@Villetownkid]

When you realize the lighting makes his face 50% red and 50% black

[@Whatismusic123]

Blue tho

[@roscasilviu8742]

BUT ARE YOU SURE IT`S 50/50 ?

[@dancepants3399]

lol how would there be black light??

[@brokenwave6125]

Do you think blue is black?

[@juliancuellarm.2498]

Or does it?

[@Simon_Augustine]

*buys math shirt* *doesn't watch corresponding video* "Hey, what's your shirt of?" "Oh yeah, it's..... uh....."

[@BrandNewByxor]

"Pizza theorem" "What's that?..." "............pizza theorem"

[@ca-ke9493]

The shirts look pretty dope

[@Fun_maths]

why can't I have fun mom? 0:14

[@jaundicepatient7898]

That Call me Carson card didn’t age so well

[@josephgarbus6195]

Carson’s definitely crying now lmao

[@thelegend-gu9eg]

I mean the shirt are cool but imma be honest with u chief, I want the meme cards

[@abhinavmittal2981]

he had me at meme cards

[@Lyuben]

crying carson ahahahahhahahahahahahhhaaaaahahha

[@tungtungtuak9025]

Kevin: introduce meme playing card Me: i'll take your entire stock!

[@CloakedJester]

"You can't rig a card game" Kevin : "haha, math go BRR"

[@danielrehfeldt]

“Crying Carson”

[@cran7731]

"Hehehehehe"

[@wikser7943]

Well done, you can spell.

[@mellowater]

@@wikser7943 not funny, didn't laugh

[@finncampbell6524]

SHIZA your cant spell man

[@benp.865]

@@finncampbell6524 *can't

[@hatchera]

Basically Kevin: Hey I know this cool game, lets play rock-paper-scissors. You choose first and then I choose! Look how amazing it's that I win, what a paradoxical loophole.

[@batmanthememe8611]

Rly tho

[@ComfortKM]

Noted the way the games are played gives way to the “loophole”. One is played with simultaneous moves and the other with turn based moves. The advantage disappears when we make the moves simultaneously.

[@sixty2612]

I think the difference is that to most people, the strategy to win Rock Paper Scissors is obvious, but a lot of people would look at this game and assume any card sequence has the same odds regardless of who picks first.

[@harlyjones3140]

​@@sixty2612 The game would be way more fair if both people chose their sequence in secret, then revealed their choices simultaneously. Either way, any turn based game is intrinsically unfair, but they can be made more fair by switching sides each time, or by increasing the number of possible moves each turn. Since the game Kevin describes always has one person choosing first, and there's only 8 possible moves... it's a very unfair game. Hatchy took this to the extreme and described a game with one person going first every time, and only 3 possible moves. I'll be honest, I was thinking the exact same thing while watching the vid

[@Cowtymsmiesznego]

My thoughts exactly. Non-transitivity is a terrible "explanation" of this paradox. The non-obvious part is that not all pairs of patterns are equally strong.

[@182mdavi]

You’ve given me an idea for quantum mechanics and computing theory. Brilliant

[@CLaw-tb5gg]

Once I was paying for something in a shop and happened to drop a coin onto the counter, which was pretty low, so it fell a good two feet. It spun end over end and then landed perfectly on its side. I was so gobsmacked I just stood there staring at it with the clerk going "SIR. ....SIR."

[@sadhanghimire9139]

Kevin: right? Me(without a clue): wrong Kevin: wrong Me:😏😏

[@twopeople254]

Yesh

[@martinacocca4225]

Same 🤣

[@Samuel-zn8zt]

99999999999999999999999 IQ Kevin: Right? Me (looking at the subtitles): Wrong!!! Kevin: Wrong!!! Me: 😏times 99999999999999999999999

[@temptura]

*keanu appears* Kevin: "KeanO Reeves"

[@HartyBiker]

Yeah, what's wrong with that?

[@AaronCataract]

New

[@AaronCataract]

@Josh Abatecola he says his own name like key-ah-new

[@AaronCataract]

@Josh Abatecola omg look it up

[@AaronCataract]

@Josh Abatecola if that was intended to cause laughter, you should try harder

[@samuelrussell5760]

There must be a mistake on the board at 10:07. It says BBR beats BRB 2:1 and RRB beats RBR 3:1. These two are the same matchup just color switched, so the odds should be the same.

[@reformCopyright]

You mean 9:07, right? I agree.

[@funnyplatypus2164]

I’m just glad I was able to figure this out right at the beginning of the video

[@feetfinderguy7044]

- "hey, wanna play a game?" - "sure, but play it fair! ok?" - "well yes but actually no"

[@david_ga8490]

Perfect for No Game No Life

[@feetfinderguy7044]

@@david_ga8490 ahh... I see you as a man of culture as well

[@SK-vw3in]

October 2019 : Vsauce Reborn

[@oj1587]

to be fair vcause2(kevin) is the only 1 who hasnt stoped creating videos from all 3 of them

[@david_ga8490]

Tutor hitman

[@theNeonfrequency]

Took me a second to realize and appreciate the dual lighting on your face nice touch

[@mariliafreitas7424]

My friend: endgame is the biggest crossover in history! Me: 4:53

[@nyaamononychrosystematical6036]

"Although... it could land on its edge..." *No Game No Life flashbacks occur*

[@MrFram]

Ah, a see, a fellow man of culture

[@raifikarj6698]

This was what popped up in my brain when he said that.

[@lowenxiang1387]

@@raifikarj6698 SAME

[@sollertia_]

Also, kakegurui

[@xcalixus]

Second Season😐

[@Kfreeks]

Easy fix to this: both players pick their sequence in secret and reveal it once both have decided. In case their sequences are identical, they both choose again, in secret. Can't use the same sequence one had in the next decision.

[@laikaperraespacial6025]

So it would be a more complicated version of Rock paper scissor

[@laikaperraespacial6025]

I liked

[@Thebiggestgordon]

Yeah but then you wouldn’t win

[@baker7280]

Then both players would always pick RBB or BRR which are equal against each other and it is unbeneficial to try and counter pick with bbr or rbb.

[@sugar2000galaxy]

U mean rock paper sciccors?

[@itshawck]

Crush: we’ll flip a coin, if its on heads I’m you girlfriend and if its tails youre my boyfriend Me: ok **flips it** me:Oh... look...0:47

[@themiddleman9376]

Well that my friend is called the friendzone.

[@breadqueen7166]

It’s just a meme review with extra steps

[@Veptis]

Numberphile had a sequence video a few months ago with a similar concept. We had lecture in maths class that touched on transitivity. Great to stay relevant to me. Earned a sub Kevin!

[@ASMRDoodlez]

Kevin: As Player 2 here, the method is very easy. Sprint guy: Isn’t it nice when you keep things simple? Me, not currently looking at the screen: Yes, it i- Hey you’re an ad!

[@goatmeal5241]

Great to mention bacterial RPS ecosystems. I found it very interesting to realize that even with a single "weapon" like an antibiotic toxin, RPS dynamics can arise: the toxin producer beats un-protected bacteria, but a bacterium that exhibits resistance to the toxin beats them because it's metabolically cheaper to defend than produce. But the cost isn't 0, so un-protected bacteria out-compete the resistant strain and "beat" it. The advantages aren't 100%, but the core dynamic is there. Well-balanced RTS games like Starcraft have this dynamic on many scales: on the broadest scale, attack beats economy, economy beats defense, and defense beats attack. But there's much richer dynamics when you include scouting, upgrades, harassment, and the attention/APM budget of each player. Many separate non-transitive arenas, with imperfect information, all come together and keep things fresh.

[@aldrinkolakkal3034]

THIS WAS SOOO EDUCATING....I WAS JUST STUYING PROBABILITY AND STUMBLED ACROSS THIS VIDEO

[@ProfessorScorbunny]

Me: *Reads title* Wait, that’s illegal.

[@yinyang1217]

But illegal is illegal.

[@GhostofFarta]

@@yinyang1217 or is it? Today I have an expert on illegal things, a random thug I pulled off the street.

[@lvbboi9]

I see Phil Swift I _CLICK INSTANTLY_

[@tacticalninja7096]

Swiftly*

[@thomashanson6603]

@@tacticalninja7096 Weird Flex but ok.

[@robemeister]

1:24 didn't age well

[@JohnDoe-jk2do]

yes

[@TheWorldsStage]

That leveling job on the table was sweet!

[@mrpelzyt]

To make this game “fair”, simply just discreetly pick your sequence so you can’t look off the other persons answer and make your sequence based on theirs

[@theapexsurvivor9538]

Or just pick your cards alternately: 1:1, 2:1, 1:2, 2:2, 1:3, 2:3. So long as 1:2 comes before 2:1 it's potentially unfair, but if 2:1 comes before 1:2 it's guaranteed to be fair.

[@mesplin3]

Or just play goofspiel.

[@user-eu5jc6qj4r]

I wrote in another comment that the only 2 viable options would be RRB and BBR since they are actually the best "single player" choices due to the nature of this game.

[@TanyaNirielle]

My thoughts exactly

[@TheJacklikesvideos]

but then what about you both picking the same sequence?

[@webrevolution.]

Nice, but why didn't you explain the math/logical reasons for this "trick"? It would have been interesting to understand, but we have only a new way to trick friends with this game, without understanding the whole concept.

[@peachbunns]

The concept is that some combinations are able to put themselves in a 100% non-losing scenarios against others. Lets take an example with player 1 choosing one of the two worst combinations, lets say BBB. Player 2 chooses RBB. Player 1 needs to hit BBB in the first 3 draws otherwise he is very likely to lose or has an extremely small chance of drawing the game, but 0% chance of winning. That's because if a red pops up, any colour that player 1 needs is going to make player 2 win first. Let's say the first three draws are B, B, R. Now, player 1 cannot possibly win and can only hope of a small chance of drawing the game. Additionally, if at any point the number of red cards drawn is more than the black cards drawn, player 2 100% wins. So let's say the first three draws are B, R, R; player 1 would automatically win, even if it means the whole deck is drawn out.

[@mimikal7548]

@@peachbunns He can't even draw, surely?

[@peachbunns]

@@mimikal7548 Yes he can. If the first 3 draws are B, B, R, the game will be a draw if the the rest of the cards drawn are one black, one red, until the final 3 cards being B, R, R.

[@matthewhubka6350]

He actually got a thing wrong as well when he says player one’s choice doesn’t matter because they can pick something that gives them the least chance of getting screwed like not picking BBB or RRR. Although player two always has a more successful strategy, player one can make it as small as possible.

[@nathangamble125]

@KinglyGosling72 That's not an explanation, you moron.

[@jasonmintzchannel8902]

“Meme cards” Steve: Am I a joke to you?

[@markosp1816]

the video that introduced me to card counting

[@cobaltdeleon]

"Truth is, Keanu, the game was rigged from the start."

[@Kyosukedono]

"Whoa"

[@jdotoz]

Ergo

[@111111222223]

5:16 That troll card staying behind was perfect xD

[@richardtemple4557]

This is an extension of the monte hall problem well done sir

[@SmartWarthog]

P1: "NO!!! You can't just hijack the odds of the game by carefully crafting a sequence based off of my 'RRR' pick!" P2: "haha my sequence goes 'BRR'"

[@thedude2241]

"So why does all this matter?" Aahh, now hes probably going to say something like "dont trust seemingly fair things" or "math is cool" "BACTERIA PLAY ROCK PAPER SCIZORS TO MULTIPLY." ... O...k....didnt expect that one

[@etherealsalad2698]

very creative spelling of scissors

[@mrleaf6055]

Mr. Pickle wdym? It's spelled scizors. 🙄

[@lennaerthondelink9135]

@@mrleaf6055 It's obviously shiszorce

[@MicrosoftNestleTea]

A Russian walks into a bar He says, "This not Fair"

[@jmugwel]

-This not Fair!

[@geo-lite69]

No he actually says Это не честно

[@luck3949]

Please explain

[@MACtic1]

Why Russian?

[@U014B]

@@MACtic1 Because Russian doesn't use articles (a, the). So in Russian, "this is not fair" and "this is not a/the fair" are equivalent.

[@Astroni800]

Ooo, I remember that from some book. To starting understand this crazy think is really awesome experience.

[@Astroni800]

I should not comment before watching the video to the end - the author practically did not explain where the injustice of these combinations comes from.

[@Monosekist]

There’s just one problem with this: the only people they know about this game are the people that have watched the video.

[@alexkorocencev7689]

Please start to sell those meme playing cards!

[@MakoProductions321]

Idk if he can, since they have copyrighted characters like Thanos :( I'm not sure tho

[@alexkorocencev7689]

@@MakoProductions321 sad gamer noises...

[@KingBobXVI]

"A game that appears fair" Any game where one player gets more information is unfair - even without knowing the transitive property, it's not that unintuitive to liken the game to something like rock paper scissors where one person gets to know the other's choice beforehand. Only knock against the video is that you didn't really go into why the sequence makes it more likely - like how, for example, unless the first 3 in a row are RRR you literally can't win with that choice once your opponent chooses BRR, because if there's one B the game will always end before the third R.

[@thejuicymop8128]

Good job. Now make it bigger and publish it on a worldwide scale in Barns and nobles around the world

[@42isthemeaningoflife]

Til that chess is imbalanced in Black’s favor because they have “more information”

[@TheAmatyarakshasa]

I’m not sure that’s universally true. For example, take a game like in this video where the sequence of cards is only one item long. Say Keanu chooses Red. If Kevin also chooses red then the game is a draw. If Kevin chooses black then he has a 50% chance of winning. There is no strategy for Kevin where he can use the information from Keanu’s choice to increase his chances of winning above 50%.

[@andylane3739]

@@42isthemeaningoflife - black has to respond to a change. White knows black's initial state.

[@42isthemeaningoflife]

@@andylane3739 Both players know the others' initial state, black get's to have more information before making her first move. I don't really know what you're trying to argue here.

[@Juiced2528]

Loved the lighting.

[@the_honkler778]

the game becomes completely fair if both players decide at the same time in secret then reveal their decision

[@TheRealGuywithoutaMustache]

An unfair game that's totally unfair: (Any pay 2 win game)

[@vibinzim2796]

Are you just like in the comments under every video?

[@aikslf]

People who made the game and still update the game: "That's fair"

[@darthnihilus4074]

3:29 I’m sorry did this man just call him “Keano Reeves”?

[@gonkdroid4prez539]

Noooo you can't just use math to win every time Kevin: HaHa trick go BRR 6:08

[@sisygambis.]

1:49 all hail the queen thanos

[@samanthae.1002]

If anyone in my fam were to play this with me they’d play BRB and *never return*

[@sourgreendolly7685]

My dad did that 😂

[@samanthae.1002]

A too real feeling

[@wolverine9632]

Here's a super-simple one: Draw 2 cards, if they are the same color, you win, if they are not, I win. At first it sounds fair, because the first card doesn't really matter, it can be red or black, only the second card determines the winner. But since you have removed one of the cards, the deck is skewed in your favor now. If card #1 is red, there are only 25 red cards left, but 26 black cards.

[@Dark_Voice]

The odds change way to little in this for it to be noticeable though.

[@tektrades7539]

"Sometimes a fair coin lands on its side" was on the back of my business cards years ago.

[@eleanorsstuff2316]

3:19 I'm very happy that Sans is still a meme.

[@resolutecub9977]

The laugh at crying Carson probably just made my day

[@van707]

This reminds me of a video from Deep Look. About lizards which is also playing rock paper scissors to survive. Good one

[@Michael-zq9wm]

Very good video. An unrelated FYI regarding the "rock/paper/scissors" game is that in Kazakhstan this is called "drain/paper/scissors". The logic is that scissors go down the drain and paper covers the drain, and when you think about it while the rock blunts the scissors in both cases the Kazak game it makes more sense for the paper to cover a drain than to cover a rock.

[@kirbyhypno2522]

Choosing RBB against BBB is so cheap (And I love it), it makes it so Player 1 can NEVER win if a single red card was drawn, meaning the first three cards in the deck have to be black cards

[@AA-100]

7.5 to 1 odds doesnt make sense though, the chance of drawing BBB is 1/8 so the odds should be 7 to 1

[@jerreddenton4862]

@@AA-100 probability of black second card is reduced slightly when the first card is black. Reduced again when second card is black. (26/52)*(25/51)*(24/50)

[@AA-100]

Then the other probabilities of 2:1 and 3:1 needs to be changed as well, those probabilities are calculated assuming there were infinite cards

[@alistaw1866]

1:39 jake : is it possible to crack the theoretical coin-flipping code and take advantage of a secret non-transitive property within this game? 1:37 thanos : impossible !!

[@bab7880]

What if both players have to choose their sequence before the other reveals it? Then player 2 never gets the advantage of seeing the choice to use the algorithm. Would there then be a better sequence option?

[@dcrezz]

You could fix it by making both players write on a sheet and submit their choice at the same time like double jeopardy.

[@purebread3898]

Me: The perfect card deck doesn't exis- This video: Hehe Meme cards

[@ferociousmaliciousghost]

Can't buy them though.

[@JMScibra]

@@ferociousmaliciousghost It still exists.

[@npc6817]

When you take the meme deck* "Looks like you're going to the shadow realm jimbo!!"

[@nonedrop9475]

7:40 For P1 choice BBB and P2 choice RBB......the odds in favour of P2 is 7:1... I calculated.... .

[@itismethatguy]

Yeah but it is also different because reds will come more cuz both took a lot of blacks.

[@jeremywilliams5107]

To win, you must get your sequence in first. So you imagine the card that comes before your opponent's sequence. That means your last two cards are their first two cards. Then you tend to win as you tend to get your sequence before they get theirs.